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Finding the Fourth Proportional to 9,212.65, 12,709.85 and 5,669.71

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Solution

The fourth proportional to 9,212.65, 12,709.85 and 5,669.71 is: 7,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.65 : 12,709.85 = 5,669.71 : x
  2. Step 2: Convert to fraction form
    9,212.65/12,709.85 = 5,669.71/x
  3. Step 3: Cross multiply
    9,212.65x = 12,709.85 × 5,669.71
  4. Step 4: Simplify right side
    9,212.65x = 72,061,103.52
  5. Step 5: Solve for x
    x = 72,061,103.52/9,212.65
  6. Step 6: Final answer
    x = 7,821.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.